Calculus: Integrals 9

[younggongofmine]

God bless you!

[SubcutaneousSmooth]

a demonstration for solids of revolution by shells would be helpful. There is so much in Calc 2 at my university that isn't covered in these videos. It's a little bit frustrating because you teach these concepts so well, i wish i could learn all of it from your videos. MIT has good videos too but holy hell are they looooong... Quality stuff, but i like the pared down approach you use.

[ProKillerDSF]

@SubcutaneousSmooth Cylindercal shell is just different by the rectangle(dx/dy) has to be parallel to the axis of rotation. Plus you have to remember to use V=(2pie)(AVGradius)(f(x))h !!! NOT--->>> volume=pieR^2 / area=bh / A=(y2-y1)h

[Mika162]

You are a formidable teacher I hope I would have known your name I am one of your fan Keep up the good work!!!!!!!!

[deliberate42]

Do you have one of these but an area bound between 2 lines and rotating around the y axis to find volume? Loving your vids so far man :)

[s98177076]

yupps but how do you do the same problem if they give you a diagram with two separate equations with a shaded area. the equations stated are y = f(x) are y=g(x) respectively ... how do you formulate the general equation to find out the volume of the shaded area

[Kreadus005]

Thats just super.

[ssgh11]

marry me!

[yaoman1993]

does anyone know how to find the volume of a wine glass?

[tmr9999]

If you have the function for the line that makes up one half then just plug it in to this problem.

[Arycke]

I like Shell Method better for some (not all)  volumes of solids of revolution. Cross sections are a tad more difficult, and always come up on the free response

[f3z3rz]

that is amazing,

[johntkucz]

why overcomplicate it and solve via integrals when it's so much easier and simpler to just plug in the algebra volume equation?

[SilentSnipest]

Because you can not do that from simply having the equation of a line. You need to input the results we find in order to apply the volume of a cone formula.

[johntkucz]

elaborate with examples, details, and variables please? I'm trying to either a)learn something I want to know and/or b)reaffirm that there's a lot of ways to solve math problems most of which are unknown to people who don't understand them (ironically, I'd probably be someone who doesn't fully understand these problems because am working on my calculus!!) lol.

[11giants11]

Thank you so much sir, you have helped me alot. I wish you were my math teacher.

[Ethkingg]

old man got skill!

[qaddodi]

WOW 9,999 VIEWS  hehe

THANKS SO MUCH this is really helpful :)

[type143]

thank you very much!

[Joisushi]

Thank you very much. ^^ Please upload more videos like these. And if possible, some that involves finding the volume using cross sections.

[Mizumi17]

CMON! You have waaay too many videos doing indefinite integrals! Put them all in one video! and label properly! its hard, i just need a simple example of using substitution rule for definite integrals.

[capamagic]

haha comeonn can u solve a triple integrals???  definite integral ahhaa child game...

[Mizumi17]

Well now I can. I just needed help with U substitution for definite integrals and improper integrals. but im good now.

[angelcruzpr]

Even 2+2 must at some time be thought to a child. For all of us who didn't have a professor like this.... priceless!

[ScottMcSanchez]

You gotta start somewhere. Not everyone is a college student in engineering and math.

Do you know what a Bessel function is? How about a Fourier series? Can you solve a linear ODE? What is the analog for a function space's inner product? This is all "child's play" for someone with my level of mathematical knowledge, but the ideas I named might sound an awful lot like gibberish to lots of others despite their interest in math.

Be a little more sensitive. Being smug won't get you any respect.

[capamagic]

yes, ok.

[MickeyMouseFan11]

thnx so much!!!!////plz upload more volume problems :)

[BTNH108464]

thanks. i really needed this.

[bryandhikr]

Thank you! the videos were very helpful!!!!

[zwolfe05]

you are  amazing. thank you so much!!!

[kotlet00]

your the best!!!

[Ren520]

wow, good review. thanks! =]]

[sophiexu582]

WOW!! Thank you soooooo sooooo sooooo much! You made the concepts so easy to understand! many many thanks again! =D

[yellowmango30]

mathtv rocks !!!!

god bless u all.....

[qqcolaman]

So I just went through all of the Integral videos, and I have a Calculus 127 (UW) exam tomorrow which is comprised of 80% integrals... I do not doubt that with this transfer of knowledge that I will do just fine. Thank the Lord for these videos and your expertise, and your students must lucky to have you as a professor. THANK YOU FOR THE VIDEOS!!!!

[jacobbis4lovers]

Do you know how he get 8/3? I can't figure it out!

and did you pass your exam?

[BigT4313]

(-4/3) + (-4/3)

[dizbjade]

well. 8/3 when you take y and square it y=(-2/3x+2)^2

[mapinski]

yummie..i love to eat pie ;-)

[paulomario]

I just finished all the Integrals videos. Congratulations for the quality of this material. You are helping me a lot as well as, I am sure, you are helping so many others!

[bkjoelover]

Im gay..kinda

[kingslice75]

Ain't integrals fun?

[cameronc76504]

Nice explanation. I would give you a 98 on that problem because you forgot to add a constant when you took the integral.

[HiredAssasin]

No he took the definite integral and there is no constant extra

[cameronc76504]

oh okay I see that now

[kingslice75]

Constants are only for indefinite integrals because you can have more than one antiderivitave for a given function but for definite integrals the constants cancel each other out.

[albinolintel]

fun

[abdulrahmanm]

Thank you!!! your integral videos rock!!

[Tubetascular]

If I could rate this 10/, I would. Thanks for the explanation.

[tchopel]

can you teach us about multiple integrals.

[CPBach]

yes! that would be nice!!

[vtiful]

better than my real math teacher

[Waranle]

Sir Your the Best!!!!!!!!!!, thank you

[k0tiak]

Thank you for explaining this. If you could, make one more for a rotation about the x-axis, would be very helpful :D

[scientistwriter]

amazing

[maylien]

Again, great and appreciated.

[arod889]

very well explained, u should do more of volumes of revolution